Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation

In this paper, two compact finite difference schemes are presented for the numerical solution of the one-dimensional nonlinear Schrödinger equation. The discrete L 2 -norm error estimates show that convergence rates of the present schemes are of order O ( h 4 + τ 2 ) . Numerical experiments on some...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Computer methods in applied mechanics and engineering 2009-02, Vol.198 (9), p.1052-1060
Hauptverfasser:	Xie, Shu-Sen, Li, Guang-Xing, Yi, Sucheol
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical transport Compact finite difference scheme Computational techniques Conservation law Error estimate Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Nonlinear Schrödinger equation Physics Soliton Statistical physics, thermodynamics, and nonlinear dynamical systems Transport processes
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!